10323125621657 has 16 divisors (see below), whose sum is σ = 10503490746000. Its totient is φ = 10144321044480.

The previous prime is 10323125621639. The next prime is 10323125621663. The reversal of 10323125621657 is 75612652132301.

It can be written as a sum of positive squares in 8 ways, for example, as 4277703564121 + 6045422057536 = 2068261^2 + 2458744^2 .

It is a cyclic number.

It is not a de Polignac number, because 10323125621657 - 2¹⁸ = 10323125359513 is a prime.

It is a super-2 number, since 2×10323125621657² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10323125621057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38731307 + ... + 38996927.

It is an arithmetic number, because the mean of its divisors is an integer number (656468171625).

Almost surely, 2^{10323125621657} is an apocalyptic number.

It is an amenable number.

10323125621657 is a deficient number, since it is larger than the sum of its proper divisors (180365124343).

10323125621657 is a wasteful number, since it uses less digits than its factorization.

10323125621657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268556.

The product of its (nonzero) digits is 453600, while the sum is 44.

Adding to 10323125621657 its reverse (75612652132301), we get a palindrome (85935777753958).

The spelling of 10323125621657 in words is "ten trillion, three hundred twenty-three billion, one hundred twenty-five million, six hundred twenty-one thousand, six hundred fifty-seven".